459399168 has 224 divisors, whose sum is σ = 1425976320. Its totient is φ = 145981440.

The previous prime is 459399167. The next prime is 459399191. The reversal of 459399168 is 861993954.

It is a super-2 number, since 2×459399168² = 422095191118184448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459399163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6856671 + ... + 6856737.

Almost surely, 2^459399168 is an apocalyptic number.

459399168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712988160).

459399168 is an abundant number, since it is smaller than the sum of its proper divisors (966577152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

459399168 is an equidigital number, since it uses as much as digits as its factorization.

459399168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 459399168 is about 21433.5990444909. The cubic root of 459399168 is about 771.6080231552.

The spelling of 459399168 in words is "four hundred fifty-nine million, three hundred ninety-nine thousand, one hundred sixty-eight".